The main milling cutter used for typical arthroplastic surgery robot, ROBODC system is 7.8 mm milling cutter. this cutter was used in case of traditional total knee arthroplasty, but 7.8mm milling cutter is not appropriate for newest surgical technique, MIS(minimally invasive Surgery). Generally, cutting method for MIS is tunnel cutting and cutter of cantilever type and small diameter is must be developed for MIS. Generally, Main problem of cutting system is chattering due to vibration of cutter by rotation and numerical analysis using finite element method was used for identifying chattering problems in this study. shaft length, cutter length, diameter and so on were proposed by axis displacement, stress, strain analysis through numerical analysis.